Linear inviscid damping and vorticity depletion for shear flows
数学专题报告
报告题目(Title)：Linear inviscid damping and vorticity depletion for shear flows
报告人(Speaker)：陈杉(University of Minnesota)
地点(Place)：后主楼1124
时间(Time)：2024 年 1月 4日 9：30—11：30
邀请人(Inviter)：熊金钢
报告摘要
The study of hydrodynamical stability has a long history. For Euler and Navier Stokes equations, the main mechanism of the asymptotic stability is inviscid damping which leads to decay of the stream and velocity functions as time evolves. In addition, for non-monotonic shear flows, vorticity depletion is another physical phenomenon which refers to the asymptotic vanishing of vorticity near the critical point. In this talk, I will discuss some recent progresses on 2D shear flows for Euler equations and for Navier Stokes equations with small viscosity (high Reynolds number regime). This talk is mainly based on the following papers and my joint work with Rajendra Beekie and Hao Jia.
[1] H. Jia, Uniform linear inviscid damping and enhanced dissipation near monotonic shear flows in high Reynolds number regime (I): the whole space case, Journal of Mathematical Fluid Mechanics 25 (3), 42, 2023.
[2] A. Ionescu, S. Iyer and H. Jia, Linear inviscid damping and vorticity depletion for non-monotonic shear flows, arXiv preprint arXiv:2301.00288, 2023
